Information on Result #713557
Linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−7,−6,…,18}, and designed minimum distance d ≥ |I|+1 = 27
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(767, 331, F7, 2, 26) (dual of [(331, 2), 595, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(767, 331, F7, 3, 26) (dual of [(331, 3), 926, 27]-NRT-code) | [i] | ||
| 3 | Digital (41, 67, 331)-net over F7 | [i] | ||
| 4 | Linear OA(781, 385, F7, 26) (dual of [385, 304, 27]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(778, 376, F7, 26) (dual of [376, 298, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(777, 372, F7, 26) (dual of [372, 295, 27]-code) | [i] | ✔ | |
| 7 | Linear OA(780, 372, F7, 27) (dual of [372, 292, 28]-code) | [i] | ✔ | |
| 8 | Linear OA(786, 379, F7, 29) (dual of [379, 293, 30]-code) | [i] | ✔ | |
| 9 | Linear OA(782, 375, F7, 28) (dual of [375, 293, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(785, 377, F7, 29) (dual of [377, 292, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(799, 391, F7, 32) (dual of [391, 292, 33]-code) | [i] | ✔ | |